How do you simplify r times the square root of r − 3 times r times the square root of r + 4 times r times the square root of r?

1 Answer
May 21, 2018

#r^3sqrt(r(r-3)(r+4))#

Explanation:

"r times the square root of r-3" is:
#r timessqrt(r-3)#

"times r times the square root of r+4" is:
#times r times sqrt(r+4)#

"times r times the square root of r" is:
#times r times sqrtr#

Putting it together:
#r timessqrt(r-3) times r times sqrt(r+4) times r times sqrtr#

= #r^3sqrt(r(r-3)(r+4))#